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31032223013 = 1122381107713
BaseRepresentation
bin11100111001101010…
…100010010100100101
32222002200121021011002
4130321222202110211
51002023222114023
622131144123045
72146002354251
oct347152422445
988080537132
1031032223013
1112184976500
126020766485
132c071a504c
141705583261
15c19572b28
hex739aa2525

31032223013 has 12 divisors (see below), whose sum is σ = 34124441484. Its totient is φ = 28199001600.

The previous prime is 31032222989. The next prime is 31032223031.

31032223013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13322468929 + 17709754084 = 115423^2 + 133078^2 .

It is not a de Polignac number, because 31032223013 - 228 = 30763787557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31032223063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234245 + ... + 341957.

It is an arithmetic number, because the mean of its divisors is an integer number (2843703457).

Almost surely, 231032223013 is an apocalyptic number.

It is an amenable number.

31032223013 is a deficient number, since it is larger than the sum of its proper divisors (3092218471).

31032223013 is a wasteful number, since it uses less digits than its factorization.

31032223013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110116 (or 110105 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The spelling of 31032223013 in words is "thirty-one billion, thirty-two million, two hundred twenty-three thousand, thirteen".

Divisors: 1 11 121 2381 26191 107713 288101 1184843 13033273 256464653 2821111183 31032223013